Geodesic
On the axioms for adhesive and quasiadhesive categories
Theory and applications of categories, CT2011, Tome 27 (2012), pp. 27-46

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

A category is adhesive if it has all pullbacks, all push-outs along monomorphisms, and all exactness conditions between pullbacks and pushouts along monomorphisms which hold in a topos. This condition can be modified by considering only pushouts along regular monomorphisms, or by asking only for the exactness conditions which hold in a quasitopos. We prove four characterization theorems dealing with adhesive categories and their variants.

Publié le :
Classification : 18A30, 18B15
Keywords: adhesive category, quasiadhesive category, pushout, exactness condition, embedding theorem 
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Richard Garner; Stephen Lack. On the axioms for adhesive and quasiadhesive categories. Theory and applications of categories, CT2011, Tome 27 (2012), pp. 27-46. http://geodesic.mathdoc.fr/item/TAC_2012_27_a2/